What is the Greatest Common Factor of 84780 and 84800?

Greatest common factor (GCF) of 84780 and 84800 is 20.

GCF(84780,84800) = 20

We will now calculate the prime factors of 84780 and 84800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84780 and 84800.

How to find the GCF of 84780 and 84800?

We will first find the prime factorization of 84780 and 84800. After we will calculate the factors of 84780 and 84800 and find the biggest common factor number .

Step-1: Prime Factorization of 84780

Prime factors of 84780 are 2, 3, 5, 157. Prime factorization of 84780 in exponential form is:

84780 = 2² × 3³ × 5¹ × 157¹

Step-2: Prime Factorization of 84800

Prime factors of 84800 are 2, 5, 53. Prime factorization of 84800 in exponential form is:

84800 = 2⁶ × 5² × 53¹

Step-3: Factors of 84780

List of positive integer factors of 84780 that divides 84780 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 157, 180, 270, 314, 471, 540, 628, 785, 942, 1413, 1570, 1884, 2355, 2826, 3140, 4239, 4710, 5652, 7065, 8478, 9420, 14130, 16956, 21195, 28260, 42390

Step-4: Factors of 84800

List of positive integer factors of 84800 that divides 84780 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 53, 64, 80, 100, 106, 160, 200, 212, 265, 320, 400, 424, 530, 800, 848, 1060, 1325, 1600, 1696, 2120, 2650, 3392, 4240, 5300, 8480, 10600, 16960, 21200, 42400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84780 and 84800. The biggest common factor number is the GCF number.
So the greatest common factor 84780 and 84800 is 20.

Also check out the Least Common Multiple of 84780 and 84800